Question 1 :
Select the correct order for defining the following terms:<br>I - natural number<br>II -imaginary number<br>III -rational number<br>IV -integer
Question 4 :
The number of whole numbers between the smallest whole number and the greatest 2-digit number is:
Question 6 : A cricket stadium manager counted the number of matches held in each month.<table class="wysiwyg-table"><tbody><tr><td>Months</td><td>Number of matches</td></tr><tr><td>August</td><td>XCIV</td></tr><tr><td>September</td><td>LXXXVI</td></tr><tr><td>October</td><td>XCIX</td></tr><tr><td>November</td><td>CVI</td></tr></tbody></table>In which month, the stadium had the lowest number of matches?
Question 8 :
The number of matchsticks that can be used to write 23 in Roman system are
Question 9 :
Assertion: The value of $CM - CD + CVII$ is $607$.
Reason: Symbol $C$ can be added to every Roman symbol, but it can be subtracted from $D$ and $M$ only.
Question 11 :
Ashu is $XIX$ years old. His sister is $XXV$ years old. What is their total age?
Question 14 :
The three digit number formed by $4, 6$ and $2$ is/are
Question 15 :
Rahul bought $4 \,kg\, 90\, g$ of apples, $2 \,kg \,60\, g$ of grapes and $5\, kg \,300 \,g$ of mangoes. The total weight of all the fruits he bought is _______
Question 17 :
If number reads "Forty five lakh sixty one thousand two hundred thirty four"<br>the sum of digits in the number is
Question 19 :
If $7$ pencils cost $Rs. 35$, then the cost of one dozen pencils is
Question 20 :
Mark the correct alternative of the following.<br>The difference between the successor and predecessor of $99999$ is?<br>
Question 21 :
On the sides of an arbitrary triangle ABC, triangles BPC, CQA, and ARB are externally erected such that<br/>$\angle{PBC}=\angle{CAQ}=45^{\circ}$,<br/>$\angle{BCP}=\angle {QCA}=30^{\circ}$,<br/>$\angle{ABR}=\angle{BAR}=15^{\circ}$;<br/>
Question 22 :
If the points $( 0,0 ) , ( 3 , \sqrt { 3 } ) , ( p , q )$ form an equilateral triangle and $q _ { 1 } , q _ { 2 }$ are the twovalues of $q$ then $q _ { 1 } + q _ { 2 } =?$
Question 23 :
In the following, state if them statement is true $(T)$ or false $(F)$<br/>A cube has twelve vertices. 
Question 24 :
The points $O(0, 0), A(\cos \alpha, \sin \alpha)$ and $B(\cos \beta, \sin \beta)$ are the vertices of a right-angled triangle if
Question 25 :
The radii of described circle of $\triangle {ABC}$ are ${r}_{1}, {r}_{2}$ and ${r}_{3}$ respectively (opposite to vertices $A,B$ and $C$). If ${r}_{2}+{r}_{3}=2R$ and ${r}_{1}+{r}_{2}=3R$ then
Question 26 :
How many numbers less than $1000$ are multiples of both $10$ and $13$?
Question 27 :
The sum of the digits of a $3$ digit number is subtracted from the number. The resulting number is always<br/>
Question 28 :
Find the least 5-digit number which is exactly divisible by $20, 25, 30$.
Question 29 :
The length, breadth and height of a room are $825$ cm, $675$ cm and $450$ cm respectively Find the longest taps which can measure the three dimensions of the room exactly.
Question 30 :
Among the following numbers, find the number which is divisible by $7$.<br/>
Question 31 :
The L.C.M. of $54, 90$ and a third number is $1890$ and their H.C.F. is $18.$ What is the third number?
Question 33 :
The number of possible pairs of number, whose product is $5400$ and $HCF$ is $30$, is
Question 34 :
If sum of LCM and HCF of two number is $50$ and their LCM is $20$ more than their HCF, then the product of two numbers will be :
Question 35 :
What least number should be added to 1330 to get a number exactly divisible by 43?
Question 37 :
If $\displaystyle f\left ( x \right )=\left ( x-2 \right )\left ( x^{2}-x-a \right ),g\left ( x \right )=\left ( x+2 \right )\left ( x^{2}+x-b \right )$ and their HCF is $\displaystyle x^{2}-4,$ then find $a - b$ ($a$ and $b$ are constants)
Question 39 :
The two numbers which have only $1$ as their common factor are called _______.
Question 43 :
Integer used to represent walking $3$ km towards the north is
Question 44 :
State whether true or false <br/>The absolute value of an integer is greater than the integer. 
Question 46 :
In Ancient India, Altars with combination of shapes like rectangles, triangles and trapeziums were used for<br>
Question 49 :
Choose the correct answer from the alternatives given.<br/>In the following question, out of the four alternatives choose the one which can be substituted for the given words/sentence. <br/>A geometrical figure with eight sides.<br/>
Question 50 :
If two angles in a triangle are $ \displaystyle   75^{\circ} $ and $ \displaystyle  95^{\circ} $then the third angle is 
Question 52 :
Find the LOCUS of point of intersection of the lines <br/>$x \cos \alpha + y \sin \alpha = a$ and $x \sin \alpha - y \cos \alpha = b$, where $\alpha$ is a parameter.
Question 53 :
Let ${ F }_{ 1 }$ be the set of parallelograms, ${ F }_{ 2 }$ be the set of rectangles, ${ F }_{ 3 }$ be the set of rhombuses, ${ F }_{ 4 }$ be the set of squares and ${ F }_{ 5 }$ be the set of trapeziums in a plane. Then, ${ F }_{ 1 }$ may be equal to
Question 54 :
If $a , b , c , d$ are the sides of a quadrilateral, then the minimum value of $\frac { a ^ { 2 } + b ^ { 2 } + c ^ { 2 } } { d ^ { 2 } }$ is
Question 55 :
The equation of the circle with centre on the x-axis, radius 4 and passing through the origin, is
Question 57 :
If $ABCD$ is quadrilateral, $E$ and $F$ are the mid-point of $AC$ and $BD$ respectively $\therefore HG = ?$ 
Question 58 :
a) What is a regular polygon of $7$ sides called?<br>b) What is the sum of interior angles of a regular octagon?
Question 59 :
Tell which of the following statements are true (T) and which are false (F):<br>Every segment is a ray
Question 60 :
$ \displaystyle \overline{PQ} = 3$ cm, $\displaystyle \overline{RS} =6.2$ cm. Then the measure of line segment whose length is equal to the sum of $\displaystyle \overline{PQ}$ and $\displaystyle \overline{RS}$ is:
Question 62 :
$\displaystyle  \frac { 3 }{17}+ ......... =  \frac { 3 }{ 17 }$, find the missing value. 
Question 64 :
The value of $\left[\left(-2\displaystyle\frac{3}{4}\right)-\left(\displaystyle -1\frac{3}{4}\right)\right]+\left[\left(\displaystyle -2\frac{3}{4}\right)-\left(\displaystyle -1\frac{3}{4}\right)\right]+......$ upto $30$ times is:
Question 66 :
From the sum of<br>$\displaystyle \frac { a }{ 2 } +\frac { b }{ 3 } +\frac { c }{ 4 }$ and$\displaystyle \frac { 2a }{ 3 } +\frac { 3b }{ 4 } +\frac { 4c }{ 5 }$, subtract$\displaystyle \frac { a }{ 6 } +\frac { b }{ 12 } +\frac { c }{ 20 }$.
Question 67 :
If$\displaystyle\,5\,\dfrac{7}{x}\,\times\,y\,\dfrac{1}{13}\,=\,12$, where fractions are in their lowest terms, then $x - y$ is equal to
Question 68 :
The expression $\dfrac{2x^2 - x}{(x + 1)(x - 2)} - \dfrac{4 +x}{(x + 1) (x - 2)}$ cannot be evaluated for $x = -1 or x = 2$, since division by zero is not allowed. For other values of x:
Question 70 :
$\displaystyle \left ( \frac{1}{1\times 4}+\frac{1}{4\times 7}+\frac{1}{7\times 10}+\frac{1}{10\times 13}+\frac{1}{13\times 16} \right )$ is equal to
Question 72 :
Some situations are given below. State true or false:<br/>The temperature of a day is variable.
Question 74 :
If $\dfrac{2+3}{x}=\dfrac{2+x}{3}$<br/>What one value for $x$ can be correctly entered into the answer grid?<br/>
Question 78 :
Some situations are given below. State true or false:<br/>Length of your classroom is constant.
Question 81 :
If two given numbers are divisible by a number, then their sum is also divisible by that number. State true or false.
Question 83 :
The product of a non-zero whole number and its successor is always divisible by
Question 84 :
The sum of first three common multiples of 3, 4 and 9 is
Question 85 :
In a school library, there are 780 books of English and 364 books of Science. Ms. Yakang, the librarian of the school wants to store these books in shelves such that each shelf should have the same number of books of each subject. What should be the minimum number of books in each shelf?
Question 86 :
A loading tempo can carry 482 boxes of biscuits weighing 15kg each, whereas a van can carry 518 boxes each of the same weight. Find the total weight that can be carried by both the vehicles.
Question 87 :
Find a 4-digit odd number using each of the digits 1, 2, 4 and 5 only once such that when the first and the last digits are interchanged, it is divisible by 4.
Question 88 :
State true or false. Product of two consecutive whole numbers is divisible by 2.
Question 89 :
The population of a town is 450772. In a survey, it was reported that one out of every 14 persons is illiterate. In all how many illiterate persons are there in the town?
Question 90 :
Determine the sum of the successor of 32 + predecessor of 49 + predecessor of the predecessor of 56 + successor of the successor of 67.
Question 91 :
The perimeter of a rectangle is numerically equal to the area of rectangle. If width of rectangle is $\displaystyle 2\frac{3}{4}$cm, then its length is _________.
Question 92 :
Find the perimeter of a square of length $25 \,cm$ .
Question 93 :
If the perimeter of a regular hexagon is $x$ metres, then the length of each of its sides is
Question 94 :
The area of a rectangle is $255$ $m^2$. If its length is decreased by $1$ m and its breadth is increased by $1$ m, it becomes a Square. Find the perimeter of the square. 
Question 95 :
In a garden, there are $10$ rows and $12$ columns of mango trees. The distance between the two trees is $2$ metres and a distance of one metre is left from all sides of the boundary of the garden. The length of the garden is
Question 96 :
The perimeter of the rectangle whole length is $24\ cm$ and the diagonal is $30\ cm$ is
Question 97 :
A rectangle has adjacent sides $8\ cm$ and $6\ cm$. The perimeter of the square is equal to the perimeter of this rectangle find the difference between the area of the square and that of rectangle.
Question 98 :
Perimeter of a square garden is $444$ m. Then its side measures
Question 99 :
The area of a square field is $7744$ sq. meter. Find its perimeter. 
Question 101 :
Two quantities can be comapred only if they are in the same unit. TRUE or FALSE?
Question 102 :
There are 3 triangles , 2 squares and 2 circles in a rectangular box. Find the ratio of number of squares to all the figures inside the rectangular box.
Question 103 :
Sheena has 2 marbles and her friend Shabnam has 3 marbles. Then, the ratio of marbles that Sheena and Shabnam have is ?
Question 104 :
In a statement of proportion, the four quantities involved when taken in order are known as respective terms. Second and third term are known as middle term. TRUE or FALSE?
Question 105 :
There are 3 triangles , 2 squares and 2 circles in a rectangular box. Find the ratio of number of triangles to the number of circles inside the rectangular box.
Question 107 :
In the class, there are 20 boys and 40 girls. What is the ratio of the number of girls to the total number of students?
Question 108 :
In a statement of proportion, the four quantities involved when taken in order are known as respective terms. First and fourth terms are known as middle terms. TRUE or FALSE?
